My automatic transmission make a jump every change of velocity

Most likely one of the CV [constant velocity] universal joints on one of the drive shafts broke.
If it is an automatic transmission, something in the transmission may have broken; but automatic transmissions usually give other symptoms like slipping before actually breaking with a clunk.
If it is a manual transmission, it could be the clutch or the transmission that went clunk.

Is it an automatic or manual transmission? Check park safety switch if automatic, or wiggle shifter to try and make switch. If manual transmission the clutch switch might not be made. Just some other ideas to check.

15w-30 engine oil and ATF transmission oil probably an atf -4 oil
ring any automatic transmission shop for the oil specs
make sure that it is a genuine automatic transmission and not a cv transmission ( constant velocity )transmission as using ATF oil will destroy the belt and the transmission

If your automatic car is jerking while changing gears, you have a maintenance rather than an operation problem. Check the transmission fluid levels. If that doesn't help, something could wrong with your transmission itself.
First I suggest scanned the PCM and TCM to know if some fault code is stored there. Your mechanic could diagnose the specific problem, and, with this code number we could give you additional tips or details to fixed.

Action: Description

Inspect Cooling system hoses
Torque Body Fasteners
Inspect Idle speed
Inspect Exhaust system heat shields
Inspect Fuel lines
Inspect Emission System
Torque Frame Fasteners
Replace Air filter element
Inspect Drive Belt(s)
Change fluid Automatic transmission/transaxle
Inspect Parking brake
Inspect Ball joints
Drain, flush & refill Cooling system
Inspect Steering system
Inspect Brake system
Inspect Brake lines & hoses
Inspect Axle Shaft Oil Seal
Change fluid Rear differential
Inspect Driveshaft Universal Joint(s)
Inspect Constant Velocity Joint Boots
Change fluid Brake system
Replace Crankcase Oil Filter
Lubricate Door checks
Inspect fluid level Manual transmission/transaxle
Inspect fluid level Front differential
Inspect fluid level Transfer case
Inspect fluid level Rear differential
Change fluid Crankcase

i think i 'm facing same problem as urs.....at the low velocity like while taking corner.....n then i'm put hard forces to the accelerator to increase back it velocity....

the problem begins here....weird sounds coming from gearbox.

it's look like the transmission not run well/smoothly like new vehicle which using auto gearbox...

Transmission with engine 3.0L, takes Transmission Fluid T IV
Transmission with engine i,2.3L , takes Transmission Fluid MV

sounds like your transmission filter and fluid need changed if this is an automatic, if its a standard then your clutch may be starting to slip

try replacing your automatic transmission fluid to ease up the driving, if it doesnt change, try to see a mechanic to check on the automatic tranny. hope this helps

Check the idle speed.